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Discrete (J,J′)-lossless factorization
Authors:Wang Kang  Zheng Hairao  Qiu Wei
Institution:(1) College of Mathematical Sciences, Wuhan University, 430072 Wuhan, China;(2) Department of Mathematical & Statistics, James Cook University, Townsville, Australia
Abstract:Discrete (J, J′)-lossless factorization is established by using conjugation. For stable case, the existence of such factorization is equivalent to the existence of a positive solution of a Riccati equation. For unstable case, the existence conditions can be reduced to the existence of two positive solution of two Riccati equations. Supported by the Natural Science Foundation of Hubei Province Wang Kang: born in 1965, Ph. D.
Keywords:discrete (J  J′  )-lossless factorization  Riccati operator and equation
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